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Finding the Third Proportional to 16,508 and 35,647

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Solution

The third proportional to 16,508 and 35,647 is: 76,975.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,508 : 35,647 = 35,647 : x
  2. Step 2: Convert to fraction form
    16,508/35,647 = 35,647/x
  3. Step 3: Cross multiply
    16,508x = 35,647 × 35,647
  4. Step 4: Simplify right side
    16,508x = 1,270,708,609
  5. Step 5: Solve for x
    x = 1,270,708,609/16,508
  6. Step 6: Final answer
    x = 76,975.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.